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Finding the Fourth Proportional to 333.52, 459.98 and 301.12

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Solution

The fourth proportional to 333.52, 459.98 and 301.12 is: 415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.52 : 459.98 = 301.12 : x
  2. Step 2: Convert to fraction form
    333.52/459.98 = 301.12/x
  3. Step 3: Cross multiply
    333.52x = 459.98 × 301.12
  4. Step 4: Simplify right side
    333.52x = 138,507.65
  5. Step 5: Solve for x
    x = 138,507.65/333.52
  6. Step 6: Final answer
    x = 415.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.